English

A note on a Hecke ring associated with the Heisenberg Lie algebra

Number Theory 2021-10-22 v3

Abstract

This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory.

Keywords

Cite

@article{arxiv.2107.13868,
  title  = {A note on a Hecke ring associated with the Heisenberg Lie algebra},
  author = {Fumitake Hyodo},
  journal= {arXiv preprint arXiv:2107.13868},
  year   = {2021}
}

Comments

10 pages, to appear in Math. J. Okayama Univ